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Finding the Fourth Proportional to 758,406, 1,137,796.11 and 225,924.96

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Solution

The fourth proportional to 758,406, 1,137,796.11 and 225,924.96 is: 338,943.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,406 : 1,137,796.11 = 225,924.96 : x
  2. Step 2: Convert to fraction form
    758,406/1,137,796.11 = 225,924.96/x
  3. Step 3: Cross multiply
    758,406x = 1,137,796.11 × 225,924.96
  4. Step 4: Simplify right side
    758,406x = 257,056,540,639.91
  5. Step 5: Solve for x
    x = 257,056,540,639.91/758,406
  6. Step 6: Final answer
    x = 338,943.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.